NEW EXISTENCE, UNIQUENESS RESULTS FOR MULTI-DIMENSIONAL MULTI-TERM CAPUTO TIME-FRACTIONAL MIXED SUB-DIFFUSION AND DIFFUSION-WAVE EQUATION ON CONVEX DOMAINS

Pratibha Verma;  ; Manoj Kumar

doi:10.11948/20200217

NEW EXISTENCE, UNIQUENESS RESULTS FOR MULTI-DIMENSIONAL MULTI-TERM CAPUTO TIME-FRACTIONAL MIXED SUB-DIFFUSION AND DIFFUSION-WAVE EQUATION ON CONVEX DOMAINS

Journal of Applied Analysis & Computation ◽

10.11948/20200217 ◽

2021 ◽

Vol 11 (3) ◽

pp. 1455-1480

Author(s):

Pratibha Verma ◽

◽

Manoj Kumar

Keyword(s):

Wave Equation ◽

Convex Domains ◽

Diffusion Wave ◽

Uniqueness Results ◽

And Diffusion

Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2018.10.016 ◽

2019 ◽

Vol 70 ◽

pp. 354-371 ◽

Cited By ~ 19

Author(s):

Libo Feng ◽

Fawang Liu ◽

Ian Turner

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Finite Difference ◽

Convex Domains ◽

Diffusion Wave ◽

And Diffusion ◽

Element Method

Novel superconvergence analysis of anisotropic triangular FEM for a multi‐term time‐fractional mixed sub‐diffusion and diffusion‐wave equation with variable coefficients

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22838 ◽

2021 ◽

Author(s):

Yanhua Shi ◽

Yanmin Zhao ◽

Fenling Wang ◽

Fawang Liu

Keyword(s):

Wave Equation ◽

Variable Coefficients ◽

Diffusion Wave ◽

And Diffusion

The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.05.020 ◽

2019 ◽

Vol 345 ◽

pp. 515-534 ◽

Cited By ~ 13

Author(s):

Shujun Shen ◽

Fawang Liu ◽

Vo V. Anh

Keyword(s):

Wave Equation ◽

Analytical Solution ◽

Numerical Solutions ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

And Diffusion

A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2020.105445 ◽

2020 ◽

Vol 91 ◽

pp. 105445

Author(s):

S.S. Ezz-Eldien ◽

E.H. Doha ◽

Y. Wang ◽

W. Cai

Keyword(s):

Wave Equation ◽

Two Dimensional ◽

Numerical Treatment ◽

Diffusion Wave ◽

And Diffusion

Fully discrete spectral method for solving a novel multi-term time-fractional mixed diffusion and diffusion-wave equation

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-019-1244-6 ◽

2020 ◽

Vol 71 (1) ◽

Cited By ~ 3

Author(s):

Yanqin Liu ◽

HongGuang Sun ◽

Xiuling Yin ◽

Libo Feng

Keyword(s):

Wave Equation ◽

Spectral Method ◽

Diffusion Wave ◽

Fully Discrete ◽

And Diffusion

High‐order compact finite difference method for the multi‐term time fractional mixed diffusion and diffusion‐wave equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7207 ◽

2021 ◽

Author(s):

Bo Yu

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

High Order ◽

Diffusion Wave ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

And Diffusion

A meshless method for time fractional nonlinear mixed diffusion and diffusion-wave equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.09.019 ◽

2021 ◽

Vol 160 ◽

pp. 146-165

Author(s):

Akanksha Bhardwaj ◽

Alpesh Kumar

Keyword(s):

Wave Equation ◽

Meshless Method ◽

Diffusion Wave ◽

And Diffusion

A numerical solution of time-fractional mixed diffusion and diffusion-wave equation by an RBF-based meshless method

Engineering With Computers ◽

10.1007/s00366-020-01134-4 ◽

2020 ◽

Cited By ~ 1

Author(s):

Akanksha Bhardwaj ◽

Alpesh Kumar

Keyword(s):

Wave Equation ◽

Numerical Solution ◽

Meshless Method ◽

Diffusion Wave ◽

And Diffusion

Identify the fractional order and diffusion coefficient in a fractional diffusion wave equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113497 ◽

2021 ◽

Vol 393 ◽

pp. 113497

Author(s):

X.B. Yan ◽

Y.X. Zhang ◽

T. Wei

Keyword(s):

Diffusion Coefficient ◽

Wave Equation ◽

Fractional Order ◽

Fractional Diffusion ◽

Diffusion Wave ◽

And Diffusion

A storage model for the simulation of the hydraulic behaviour of drainage networks

Water Science & Technology ◽

10.2166/wst.1997.0644 ◽

1997 ◽

Vol 36 (8-9) ◽

pp. 57-63 ◽

Cited By ~ 2

Author(s):

Homayoun Motiee ◽

Bernard Chocat ◽

Olivier Blanpain

Keyword(s):

Wave Model ◽

Kinematic Wave ◽

Hydraulic Simulation ◽

Diffusion Wave ◽

Storage Model ◽

Hydraulic Behaviour ◽

Drainage Networks ◽

Saint Venant Equations ◽

Kinematic Wave Model ◽

And Diffusion

This paper presents a model for the hydraulic simulation of a drainage network using the storage concept. This model is easier to use than the complete Barre de Saint Venant equations and gives better results than the usual conceptual models, i.e. the Muskingum model, or than models obtained by the simplification of the Saint Venant equations (kinematic wave model and diffusion wave model).